3(7-x)=5(x+3)

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Solution for 3(7-x)=5(x+3) equation:


Simplifying
3(7 + -1x) = 5(x + 3)
(7 * 3 + -1x * 3) = 5(x + 3)
(21 + -3x) = 5(x + 3)

Reorder the terms:
21 + -3x = 5(3 + x)
21 + -3x = (3 * 5 + x * 5)
21 + -3x = (15 + 5x)

Solving
21 + -3x = 15 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
21 + -3x + -5x = 15 + 5x + -5x

Combine like terms: -3x + -5x = -8x
21 + -8x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
21 + -8x = 15 + 0
21 + -8x = 15

Add '-21' to each side of the equation.
21 + -21 + -8x = 15 + -21

Combine like terms: 21 + -21 = 0
0 + -8x = 15 + -21
-8x = 15 + -21

Combine like terms: 15 + -21 = -6
-8x = -6

Divide each side by '-8'.
x = 0.75

Simplifying
x = 0.75

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